document.write( "Question 98970: if steven can make 20 drinks in 5 minutes, sue can make 20 drinks in 10 minutes and jack can make 20 in 15 minutes. How much time will it take all three of them working together to make 20 drinks \n" ); document.write( "

Algebra.Com's Answer #72028 by Edwin McCravy(20081) $\"\"$ $\"About$

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\n" ); document.write( "if steven can make 20 drinks in 5 minutes, sue can make 20 drinks in 10 minutes and jack can make 20 in 15 minutes. How much time will it take all three of them working together to make 20 drinks\r
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\r\n" );
document.write( "Make this DRT chart.\r\n" );
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document.write( "                 Number      Rate        Time\r\n" );
document.write( "                   of         in          in \r\n" );
document.write( "                 drinks    drinks/min   minutes\r\n" );
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document.write( "Steven alone                                  \r\n" );
document.write( "Sue alone                                    \r\n" );
document.write( "Jack alone                                   \r\n" );
document.write( "All three                                     \r\n" );
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document.write( "The question is: \r\n" );
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document.write( ">>...How much time will it take all three of them working together to make 20 drinks?...<<\r\n" );
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document.write( "Let x = the number of minutes it will take all three of them\r\n" );
document.write( "working together to make 20 drinks. So fill in 20 for the number\r\n" );
document.write( "of drinks and x for the time in minutes for \"All three\":\r\n" );
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document.write( "                 Number      Rate        Time\r\n" );
document.write( "                   of         in          in \r\n" );
document.write( "                 drinks    drinks/min   minutes\r\n" );
document.write( "\r\n" );
document.write( "Steven alone                                  \r\n" );
document.write( "Sue alone                                    \r\n" );
document.write( "Jack alone                                    \r\n" );
document.write( "All three          20                      x\r\n" );
document.write( "\r\n" );
document.write( ">>...Steven can make 20 drinks in 5 minutes...<<\r\n" );
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document.write( "So fill in 20 for Steven's number of drinks and 5 for his\r\n" );
document.write( "time in minutes:\r\n" );
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document.write( "                 Number      Rate        Time\r\n" );
document.write( "                   of         in          in \r\n" );
document.write( "                 drinks    drinks/min   minutes\r\n" );
document.write( "\r\n" );
document.write( "Steven alone       20                      5\r\n" );
document.write( "Sue alone                                    \r\n" );
document.write( "Jack alone                                  \r\n" );
document.write( "All three          20                      x\r\n" );
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document.write( ">>...Sue can make 20 drinks in 10 minutes...<<\r\n" );
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document.write( "So fill in 20 for Sue's number of drinks and 10 for her\r\n" );
document.write( "time in minutes:\r\n" );
document.write( "\r\n" );
document.write( "                 Number      Rate        Time\r\n" );
document.write( "                   of         in          in \r\n" );
document.write( "                 drinks    drinks/min   minutes\r\n" );
document.write( "\r\n" );
document.write( "Steven alone       20                      5\r\n" );
document.write( "Sue alone          20                     10 \r\n" );
document.write( "Jack alone                                   \r\n" );
document.write( "All three          20                      x\r\n" );
document.write( "\r\n" );
document.write( ">>...Jack can make 20 in 15 minutes...<<\r\n" );
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document.write( "So fill in 20 for Jack's number of drinks and 10 for his\r\n" );
document.write( "time in minutes:\r\n" );
document.write( "\r\n" );
document.write( "                 Number      Rate        Time\r\n" );
document.write( "                   of         in          in \r\n" );
document.write( "                 drinks    drinks/min   minutes\r\n" );
document.write( "\r\n" );
document.write( "Steven alone       20                      5\r\n" );
document.write( "Sue alone          20                     10 \r\n" );
document.write( "Jack alone         20                     15\r\n" );
document.write( "All three          20                      x\r\n" );
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document.write( "Now use  to fill in each of the rates:\r\n" );
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document.write( "                 Number      Rate        Time\r\n" );
document.write( "                   of         in          in \r\n" );
document.write( "                 drinks    drinks/min   minutes\r\n" );
document.write( "\r\n" );
document.write( "Steven alone       20                  5\r\n" );
document.write( "Sue alone          20                10 \r\n" );
document.write( "Jack alone         20                15\r\n" );
document.write( "All three          20                  x\r\n" );
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document.write( "Reduce the fractions that will reduce:\r\n" );
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document.write( "                 Number      Rate        Time\r\n" );
document.write( "                   of         in          in \r\n" );
document.write( "                 drinks    drinks/min   minutes\r\n" );
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document.write( "Steven alone       20          4           5\r\n" );
document.write( "Sue alone          20          2          10 \r\n" );
document.write( "Jack alone         20                  15\r\n" );
document.write( "All three          20                  x\r\n" );
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document.write( "Now we form the equation from the fact that\r\n" );
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document.write( "Steven's rate + Sue's rate + Jacks's rate = Rate for all three\r\n" );
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document.write( "or\r\n" );
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document.write( "         4 + 2 +  =  \r\n" );
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document.write( "Solve that and get x =  = 2 minutes\r\n" );
document.write( "for how long it will take all three working together to mix \r\n" );
document.write( "20 drinks.\r\n" );
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document.write( "Edwin

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